Chaudet-Dumas, Bastien; Gander, Martin J. Cross-points in the Dirichlet-Neumann method. I: Well-posedness and convergence issues. (English) Zbl 1506.65241 Numer. Algorithms 92, No. 1, 301-334 (2023). MSC: 65N55 65N06 35J05 35D35 35A15 35A01 35A02 35B65 PDFBibTeX XMLCite \textit{B. Chaudet-Dumas} and \textit{M. J. Gander}, Numer. Algorithms 92, No. 1, 301--334 (2023; Zbl 1506.65241) Full Text: DOI
Gander, Martin J.; Zhang, Hui Schwarz methods by domain truncation. (English) Zbl 1518.65140 Acta Numerica 31, 1-134 (2022). MSC: 65N55 42B05 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{H. Zhang}, Acta Numerica 31, 1--134 (2022; Zbl 1518.65140) Full Text: DOI arXiv
Leng, Wei; Ju, Lili A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation. (English) Zbl 1474.65465 Commun. Comput. Phys. 29, No. 2, 357-398 (2021). MSC: 65N55 65F08 65Y05 PDFBibTeX XMLCite \textit{W. Leng} and \textit{L. Ju}, Commun. Comput. Phys. 29, No. 2, 357--398 (2021; Zbl 1474.65465) Full Text: DOI arXiv
Taus, Matthias; Zepeda-Núñez, Leonardo; Hewett, Russell J.; Demanet, Laurent L-sweeps: a scalable, parallel preconditioner for the high-frequency Helmholtz equation. (English) Zbl 07506624 J. Comput. Phys. 420, Article ID 109706, 32 p. (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Taus} et al., J. Comput. Phys. 420, Article ID 109706, 32 p. (2020; Zbl 07506624) Full Text: DOI arXiv
Chaouqui, Faycal; Gander, Martin J.; Santugini-Repiquet, Kévin A continuous analysis of Neumann-Neumann methods: scalability and new coarse spaces. (English) Zbl 1456.65175 SIAM J. Sci. Comput. 42, No. 6, A3785-A3811 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N55 65N50 65N35 65N12 65F08 65F10 65F50 35J05 PDFBibTeX XMLCite \textit{F. Chaouqui} et al., SIAM J. Sci. Comput. 42, No. 6, A3785--A3811 (2020; Zbl 1456.65175) Full Text: DOI
Gander, Martin J.; Zhang, Hui A class of iterative solvers for the Helmholtz equation: factorizations, sweeping preconditioners, source transfer, single layer potentials, polarized traces, and optimized Schwarz methods. (English) Zbl 1417.65216 SIAM Rev. 61, No. 1, 3-76 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N55 65N22 65F10 35J05 65F08 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{H. Zhang}, SIAM Rev. 61, No. 1, 3--76 (2019; Zbl 1417.65216) Full Text: DOI arXiv
Claeys, X.; Dolean, V.; Gander, M. J. An introduction to multi-trace formulations and associated domain decomposition solvers. (English) Zbl 1404.65302 Appl. Numer. Math. 135, 69-86 (2019). MSC: 65N55 65N12 PDFBibTeX XMLCite \textit{X. Claeys} et al., Appl. Numer. Math. 135, 69--86 (2019; Zbl 1404.65302) Full Text: DOI arXiv Link
Gander, Martin J.; Halpern, Laurence; Santugini-Repiquet, Kévin On optimal coarse spaces for domain decomposition and their approximation. (English) Zbl 1443.65424 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 271-280 (2018). MSC: 65N55 65N30 65J20 PDFBibTeX XMLCite \textit{M. J. Gander} et al., Lect. Notes Comput. Sci. Eng. 125, 271--280 (2018; Zbl 1443.65424) Full Text: DOI
Gander, Martin J.; Loneland, Atle SHEM: an optimal coarse space for RAS and its multiscale approximation. (English) Zbl 1367.65183 Lee, Chang-Ock (ed.) et al., Domain decomposition methods in science and engineering XXIII. Proceedings of the 23rd international conference, Jeju Island, Korea, July 6–10, 2015. Cham: Springer (ISBN 978-3-319-52388-0/hbk; 978-3-319-52389-7/ebook). Lecture Notes in Computational Science and Engineering 116, 313-321 (2017). MSC: 65N55 65F10 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{A. Loneland}, Lect. Notes Comput. Sci. Eng. 116, 313--321 (2017; Zbl 1367.65183) Full Text: DOI
Gander, Martin J.; Liu, Yongxiang On the definition of Dirichlet and Neumann conditions for the biharmonic equation and its impact on associated Schwarz methods. (English) Zbl 1367.65182 Lee, Chang-Ock (ed.) et al., Domain decomposition methods in science and engineering XXIII. Proceedings of the 23rd international conference, Jeju Island, Korea, July 6–10, 2015. Cham: Springer (ISBN 978-3-319-52388-0/hbk; 978-3-319-52389-7/ebook). Lecture Notes in Computational Science and Engineering 116, 303-311 (2017). MSC: 65N55 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{Y. Liu}, Lect. Notes Comput. Sci. Eng. 116, 303--311 (2017; Zbl 1367.65182) Full Text: DOI
Zepeda-Núñez, Leonardo; Demanet, Laurent The method of polarized traces for the 2D Helmholtz equation. (English) Zbl 1351.76197 J. Comput. Phys. 308, 347-388 (2016). MSC: 76M20 65N06 65N22 65N55 76Q05 PDFBibTeX XMLCite \textit{L. Zepeda-Núñez} and \textit{L. Demanet}, J. Comput. Phys. 308, 347--388 (2016; Zbl 1351.76197) Full Text: DOI arXiv
Chen, Zhiming; Gander, Martin J.; Zhang, Hui On the relation between optimized Schwarz methods and source transfer. (English) Zbl 1339.65230 Dickopf, Thomas (ed.) et al., Domain decomposition methods in science and engineering XXII. Proceedings of the 22nd international conference on domain decomposition methods, Lugano, Switzerland, September 16–20, 2013. Cham: Springer (ISBN 978-3-319-18826-3/hbk; 978-3-319-18827-0/ebook). Lecture Notes in Computational Science and Engineering 104, 217-225 (2016). MSC: 65N55 PDFBibTeX XMLCite \textit{Z. Chen} et al., Lect. Notes Comput. Sci. Eng. 104, 217--225 (2016; Zbl 1339.65230) Full Text: DOI